The value of ∠NLM = 29 degree
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that a Δ LNM is cut by a bisector
The bisector forms a right angle at the base and splits in tnto two congruent lengths
LN = NM
∠LNM = 6x +1
∠NML = 4x -11
∠NLM = ?
∠NLM =∠NML = 4x -11
as 6x +1 is the value of the angle bisector
By the angle sum property
4x -11 +4x -11 + 12x+2 = 180
20x = 200
x = 10
The value of ∠NLM =
4x - 11 = 4 * 10 - 11 = 29 degree
Therefore the value of ∠NLM = 29 degree
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Answer: A.) ✔ 29 degrees
Step-by-step explanation: i hope this helps :)
77 = 88 because they both equal 1. Peter takes one part away from each. Will the results be equal? Use the drop-down menus to complete an explanation.
Yes, the results will be equal as it follows from the task content that both numbers were equal initially.
What will he the equality verdict on both results?As evident in the task content, it follows that the numbers 77 and 88 although, not equal in the real sense, are equal according to the task content.
Hence, it follows that when equal parts are taken away from the two numbers, they would still be equal as both numbers were equal initially.
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HELP!!!!!!!!
Find the direction of vector shown above. A. -68.2 N of E B. -21.8 N of E C. 21.8 N of W D. 68.2 N of W
The direction of the vector is - 21.8 N of E , Option B is the answer.
What is a Vector ?A vector is an object with both magnitude and direction.
A vector is shown in the graph.
To determine the direction , The angle needs to be determined
The slope of the vector will give the direction of the vector
The vector starts from the point (1 , 1)
Another point on the vector (-4 , 3)
slope = -2 /5
It is making angle x with the line y = 1
tan x = -2 /5
x = - 21.8 N of E.
Therefore the direction of the vector is - 21.8 N of E , Option B is the answer.
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samanth drew this pictogram
Answer:
la verdad noce no me acuerdo
Answer:
4
Step-by-step explanation:
There are 6 grey diamonds in the row labelled "cat".
Each diamond means two hours.
6 × 2 = 12
Samanth's table shows that cats sleep 12 hours.
Tony is going to use a circle that means 3 hours.
12 ÷ 3 = 4
Tony needs 4 circles to show 12 hours.
4 × 3 = 12
Tony will use 4 circles.
Find m, given that the three angles of a triangle are (m+18), (2m+28) and (3m+47).
Step-by-step explanation:
As all angles in a triangle add up to 180°
we can write:
(m+18)+(2m+28)+(3m+47) = 180
6m + 93 = 180
6m = 180 - 93
6m = 87
m = 87 / 6
m = 14.5
A point is chosen at random on the number line between $0$ and $1$, and the point is colored green. Then, another point is chosen at random on the number line between $0$ and $1$, and this point is colored purple. What is the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point
The probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4
How to find the Probability?Let the "green" value be an x value lying on segment AC.
Now, the segment AC has the equation y = x. Then, let the "purple" value that is twice a selected x value lie on the segment AE and as such, the equation of this line is y = 2x.
It must be noted that at point E, x = 0.5 and y = 1. This means at every x value on AC greater than 0.5, the value of y on EC associated with this x value is is less than twice that x value.
Then, between segments AE and AC, every value of y will be greater than, but less than twice, its associated x value.
Since triangle ACD has an area of 1/2 and triangle BEA has an area of 1/4, then we can say that;
Triangle AEC area = 1 - (1/2) - (1/4) = 1/4.
Thus, the probability that the number of the purple point is greater than the number of the green point, but less than twice the number of the green point is 1/4
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Can someone help me out on this geometry postulate questions? It’s urgent
20) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so SSS
21) [tex]\overline{CD} \cong \overline{CD}[/tex] by the reflexive property, so ASA
22) [tex]\overline{CE} \cong \overline{CB}, \overline{AC} \cong \overline{CD}[/tex] by the definition of a midpoint and [tex]\angle 1 \cong \angle 2[/tex], so SAS
23) [tex]\overline{AC} \cong \overline{AC}[/tex] by the reflexive property, so ASA
i need the answer for this question, look at the image below for help
Answer:
x axis is -2.
y axis is +1.
(-1, 3)
What is Meant By Graphing Functions?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
According to the question,
The following graph represents the linear function f(x) = x -2
Take any point on this line, say, (-1, 3).
Let us substitute (-1, 3) = (x, y) (i.e., x = -1 and y = 3) in the function f(x) = -x + 2 (note that it can be written as y = x - 2).
Then
3 = -(-1) + 2
3 = 1 + 2
3 = 3, thus, (-1, 3) satisfies the function.
In the same way, you can try taking different points and checking whether they satisfy the function. Each and every point on the line (in general called "curve") satisfies the function.
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I'm lazy and dont feel like doing math myself. So pls help me!
I'm asking this again cuz no one answer it the first time T-T
Answer:
55
Step-by-step explanation:
Well you just plug in 10 as n.. and you get the equation:
[tex]\frac{10(10+1)}{2} \\\frac{10(11)}{2}\\\\\frac{110}{2}\\\\55[/tex]
In a Fischer projection with only one horizontal line crossing through the vertical line, the point at which the two lines cross represents ______________.
The Central Carbon
What is Fischer's projection?It is a method that represents the three-dimensional structures of molecules on a single page. These are a convenient way to represent the molecules and distribute them between the pairs of enantiomers. These are very often used to represent isomers of sugars.
The Fischer Projection consists of horizontal and vertical lines, the horizontal lines represent atoms that are pointed out of the plane and the vertical line represents atoms that are pointed away from the plane. The intersection point of the horizontal line and the vertical line represents the central carbon.
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Which of the following systems of inequalities has point C as a solution? Two linear functions f of x equals 3 times x plus 4 and g of x equals negative one half times x minus 5 intersecting at one point, forming an X on the page. A point above the intersection is labeled A. A point to the left of the intersection is labeled B. A point below the intersection is labeled C. A point to the right of the intersections is labeled D. f(x) ≤ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is less than or equal to negative one half times x minus 5 f(x) ≤ 3x + 4 g of x is greater than or equal to negative one half times x minus 5 f(x) ≥ 3x + 4 g of x is greater than or equal to negative one half times x minus 5
The inequalities that will have point C as a solution are;
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
What is the solution of the Inequality?We can see the inequality graph in the attached file.
Now, the two lines in the graph represent the equations;
f(x) = 3x + 4
g(x) = -¹/₂x - 5
Now, we see the point C and from inspection of the graph, we can see that it is to the right of f(x) and to the bottom of g(x) an as such the inequalities that will have point C as a solution is;
f(x) ≥ 3x + 4
g of x is greater than or equal to negative one half times x minus 5
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John bought a computer scanner and supplies for $215.70, which will
allow him to scan images for $0.34 each. A computer center charges
$0.59 to scan each image. How many images must John scan before
his total cost is less than getting scanned images at the computer
center?
John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.
To determine how many images John must scan before his total cost is less than getting scanned images at the computer center, we can set up an equation.
Let's denote the number of images John needs to scan as "x."
The total cost for John to scan x images is given by:
John's total cost = cost of scanner + cost of supplies + cost per image scanned
John's total cost = $215.70 + ($0.34 * x)
The total cost for scanning x images at the computer center is given by:
Computer center's cost = cost per image scanned * x
Computer center's cost = $0.59 * x
We want to find the point at which John's total cost is less than the computer center's cost. In other words, we want to find the value of x for which John's total cost is less than the computer center's cost:
John's total cost < Computer center's cost
$215.70 + ($0.34 * x) < $0.59 * x
Now, we can solve for x:
$215.70 + ($0.34 * x) < $0.59 * x
$215.70 < $0.59 * x - $0.34 * x
$215.70 < $0.25 * x
Divide both sides of the inequality by $0.25:
$\frac{215.70}{0.25} < \frac{0.25 * x}{0.25}$
862.80 < x
Therefore, John must scan more than 862 images before his total cost is less than getting scanned images at the computer center.
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What is the equivalent 6/10 1. 3/5 2. 9/12 3. 20/50 4. 40/50
Answer:
1.) 3/5
Step-by-step explanation:
When know that 3/5 is equivalent to 6/10 because both the numerator and the denominator are scaled up/down by the same amount. To be precise, we can get the answer of 3/5 by dividing the numerator and denominator by 2.
6 / 2 = 3
10 / 2 = 5
Which is equivalent to start root 10 EndRoot Superscript three-fourths x ?
Answer:
d&#&#;#;'xn x;e;÷hr&÷h÷ebb ehehhbbsssshhheu73334914218899110
can someone help me please
answer:
oops, I accidentally messed this one up, so sorry
Answer:
"We can't use any of the patterns"
Step-by-step explanation:
You can't use [tex](U+V)^2[/tex] because that would result in some stuff in the middle. In general if you have something like that it would expand to [tex]U^2+2UV + V^2[/tex]. and same thing for the (U-V)^2 except the middle would be a negative number. You also can't use [tex](U+V)(U-V)[/tex] because it specifies "constant integers" and the "integer" part is what's really important, because you can technically rewrite the sum of squares as (U + V)(U - V) but you would need to use imaginary numbers. Because the difference of squares is defined as [tex]a^2-b^2 = (a-b)(a+b)[/tex]. But you can also think of it like this [tex]a-b = (\sqrt{a} - \sqrt{b})(\sqrt{a}+\sqrt{b})[/tex] because that's essentially what the original identity is saying. Using this definition you can write the sum of squares as [tex]a+b = a - (-b) = (\sqrt{a} + \sqrt{-b})(\sqrt{a} - \sqrt{-b}) = (\sqrt{a} + i\sqrt{b})(\sqrt{a} - i\sqrt{b})[/tex]. So with the restriction of constant integers "We can't use any of the patterns" is the correct answer
What is the recursive formula for this geometric sequence? -3. -21, -147, -1029, …
Answer:
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]
Step-by-step explanation:
A recursive formula allows a rem in the sequence to be found by multiplying the previous term by the common ratio r
For this sequence
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{-3}[/tex] = 7 , then recursive formula is
[tex]a_{n}[/tex] = 7[tex]a_{n-1}[/tex]
Find the volume in cm^3 of a right circular cylinder with a radius of 10 cm and height of 14 cm
4398.22 cm³ the volume of cylinder.
What is volume of cylinder?
'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.Given,
Height of cylinder = 14 cm
radius of cylinder = 10 cm
Now using formula volume of the cylinder = π r² h
put value in formula,
3.14 × 10× 10 × 14 = 4398.22 cm³
Therefore, 4398.22 cm³ the volume of cylinder.
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express 0.139 in p/q form bar on 39
plss answer it
The expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
How to convert decimal to fraction?
We are given the decimal 0.139.
Now, when we want to convert to fraction, it means we want the decimal expression to have a numerator and a denominator.
Thus;
0.139 can also be expressed as; 139/1000
Therefore, the expression of the decimal 0.139 in fraction form of p/q gives; 139/1000
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What is the point-slope form of a line with slope that contains the point
(-3, 6)?
OA.y-3=2(x+3)
OB. y+6=2(x+3)
OC. y-6=-2(x+3)
D. y-6=2(x+3)
The point-slope form of a line with slope that contains the point
(-3, 6) is y-6=2(x+3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The point-slope form of a line is given by y - y₁ = m(x - x₁)
where m is the slope of the line, and (x₁, y₁) is a point on the line.
We are given that the line has a slope, but we are not given what the slope is.
The given point is (-3, 6)
y - 6 = m(x - (-3))
y - 6 = m(x+3)
As per the given options which matches the point slope form is y-6=-2(x+3)
Hence, the point-slope form of a line with slope that contains the point
(-3, 6) is y-6=2(x+3)
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Find the total surface area of this triangular prism.
18 cm
30 cm
24 cm
7 cm
Answer:
936 cm^2
Step-by-step explanation:
Solution
Back (This is a rectangle)
Area = w * h
w = 7
h = 18
Area = 7 * 18 = 126 cm^2
Front and Back
Area = 1/2 * B * H (This is a triangle -- There are 2 of them)
Givens
B = 24
h = 18
Area = 1/2 * 24 * 18
Area = 216
But there are two such triangles = 2*216 = 432 cm ^2
Ramp
Formula Area = L*w (This is a rectangle)
L = 30
W = 7
Area = 30 * 7 = 210 cm^2
Base
This is also a rectangle
L = 24
W = 7
Area = L*W
Area = 24 *7 = 168 cm^2
Total
168 cm^2
210 cm^2
432 cm^2
126 cm^2
936 cm^2
What is the degree form for 4π/5 radians?
Answer: 144 degrees
Step-by-step explanation:
Formulas:Radian ⇒ Degree = 180/π
Degree ⇒ Radian = π/180
[tex]\frac{4\pi }{5} *\frac{180}{\pi } =\frac{4}{5} *\frac{180}{1} =\frac{720}{5} =144[/tex]
Therefore your answer is 144 degrees
Hello !
π rad <=> 180°
4π/5 rad <=> ?°
The calculation ils attached.
We found 144°.
Have a nice day ;)
38. For the following exercises, sketch a line with the given features.
38. An x-intercept of (-4,0) and y-intercept of (0,-2)
Answer:
see image
Step-by-step explanation:
The x-intercept is the point where the line crosses the x-axis (horizontal, left and right line with numbers, arrows at both ends, usually marked x at the right end)
The y-intercept is where your line crosses the y-axis (vertical, up-and-down line with numbers, arrows at the ends, usually marked y at the top)
Two points determine a line.
Draw a line through the two points given. See image.
Mr. Frankel bought 8 tickets to a puppet show and spent $49. He bought a combination of child tickets for $5 and adult tickets for $8
each. Write a system of equations to determine the number of adult, a, and the number of child tickets, c, he bought. solve for equations
Answer: adult = 3 child = 5
Step-by-step explanation:
49 = 8a+5c
8 = a+c
use those equations to solve^^
Find the slant height x of the pyramid shown, to the nearest tenth.
6mm
7mm
7mm
Options:
A: 4.35
B: 9.2
C: 6.9
D: 3.9
Answer: C
Step-by-step explanation:
Construct the segment connecting the point where the height meets to the base to where the slant height meets the base.
This forms a right triangle with legs of length 3.5 and 6.
So, by the Pythagorean theorem, [tex]x=\sqrt{3.5^2 + 6^2} \approx 6.9[/tex]
Container measures 24ft by 8ft by 10ft, if 1 bushel is approximately 2220 cubic inches, approximately how many bushels of grain can the container hold ( 1ft=12in) Show Your work
Answer:
see below
Step-by-step explanation:
24 ft * 12 in/ft * 8ft * 12 in/ft * 10 ft * 12 in/ft = 3317760 in^3
3 317 760 in^3 / 2220 in^3/bushel = 1494.49 bushels
Are these two equal ?
Can we make -x/x+1 to x/-(x+1) and becomes x/-x-1
Answer:
Yes, they are equivalent.
One way you can check this is by substituting any number into x.
For example, x = 2:
• First equation : [tex]\frac{-x}{x + 1}[/tex]
⇒ [tex]\frac{-2}{2 + 1}[/tex]
⇒ [tex]\frac{-2}{3}[/tex]
• Second equation: [tex]\frac{x}{-x-1}[/tex]
⇒ [tex]\frac{2}{-2-1}[/tex]
⇒ [tex]\frac{-2}{3}[/tex]
As both forms of the equation give the same result after substitution, they are equivalent.
A bucket of chicken had 12 pieces and cost $9.48. After 3pm it was on sale for $0.10 off per piece. What was the sale price per piece of chicken?
Answer:
The sale price per piece of chicken was $0.69
Step-by-step explanation:
• We have to first calculate the price of 1 piece of chicken when 12 pieces cost $9.48.
Original price per piece = $9.48 ÷ 12
= $0.79
• According to the question the price per piece decreased by $0.10 during the sale.
∴ Sale price per piece = $0.79 - $0.10
= $0.69
The triangles are congruent by the SSS congruence theorem.
Triangles A B C and F E D are shown. Triangle A B C is reflected across A C and then is shifted down and to the left to form triangle F E D.
Which rigid transformation(s) can map TriangleABC onto TriangleFED?
reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection
The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
The correct option is (B).
What is Translation?Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.
given:
ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.
Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
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Answer:
B
Step-by-step explanation:
In the figure above, AP and CQ are tangents to the circle.
If ∠ABC = 60° and ∠BAP = 40°, find ∠BCQ.
Answer:
30
Step-by-step explanation:
You take a protractor and put at c then you measure
Which number line represents the solution for the
inequality |2x - 5] ≥ 3?
The attached graph represents the number line of the inequality |2x - 5] ≥ 3
How to determine the number line?The inequality is given as:
|2x - 5] ≥ 3
Remove the absolute value sign
2x - 5 ≥ 3 or 2x - 5 ≥ -3
Add 5 to both sides
2x ≥ 5 + 3 or 2x ≥ 5-3
Evaluate
2x ≥ 8 or 2x ≥ 2
Divide through by 2
x ≥ 4 or x ≥ 1
Combine both inequalities
x ≤ 1 and x ≥ 4
See attachment for the number line
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HELP HALP
x =x=x, equals
^\circ
∘
Answer:
Step-by-step explanation:
x=25 degrees.
A vertical angle is two angles formed by intersecting lines, just like the two that form 25 degrees and x degrees. The angles formed by vertical angles are congruent (meaning they are equivalent). So, x=25 degrees.